Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 5400 and 2835.

**Answer**

$5400=({2}^{3})({3}^{3})({5}^{2})$

$2835=({3}^{4})(5)(7)$

The LCM of 5400 and 2835 is the product of the largest powers of each prime factor in both.

Thus the LCM of 5400 and 2835

$=({2}^{3})({3}^{4})({5}^{2})(7)$

$=113400$